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Finding the Fourth Proportional to 831.57, 1,147.44 and 477.50

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Solution

The fourth proportional to 831.57, 1,147.44 and 477.50 is: 658.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.57 : 1,147.44 = 477.50 : x
  2. Step 2: Convert to fraction form
    831.57/1,147.44 = 477.50/x
  3. Step 3: Cross multiply
    831.57x = 1,147.44 × 477.50
  4. Step 4: Simplify right side
    831.57x = 547,907.26
  5. Step 5: Solve for x
    x = 547,907.26/831.57
  6. Step 6: Final answer
    x = 658.88

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.